From Continuous to Discrete Models of Linear Repetitive Processes

Gramacki, A, Gramacki, J., Galkowski, K., Rogers, E. and Owens, D H (2002) From Continuous to Discrete Models of Linear Repetitive Processes. Archives of Control Sciences, 12 (1-2), 151-185.

Abstract

.Differential linear repetitive processes are a distinct class of 2D linear systems which pose problems which cannot (except in a few very restrictive special cases) be solved by application of existing linear systems theory, and hence by the use of many of the currently available tools for computer aided analysis and simulation. One such problem area is the construction of accurate numerically well conditioned discrete approximations of the dynamics of differential processes which could, as one example of a number of immediate applications areas, form the basis for the digital implementation of control laws. In this paper, we undertake a detailed investigation of the critical problems which arise when attempting to construct "useful" (for onward asnalysis/design studies) discrete approximations to the dynamics of differential linear repetitive processes and develop solutions to them. Numerical examples to support the results obtained are also given using a specially developed MTLAB based toolbox.

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Contributors

Author: E. Rogers

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